Math 009 6381 Summer 2017 Final Exam ID: 4 p h2w0]1x7b rKxuUtMaW NSqoUfztpwZaWrFe[ oLtLHCQ.C i wAnltl^ erMihg]hStgsG xrYetsJeqr`vferde. Follow order of operations to simplify the following expression: 1) 8 10 - 11 - 6 -5 Evaluate the expression using the values given for the variables. 2) -6 - (h + j 2 ) + 9; use h = -6, and j = -4 Simplify the expression. 3) -9(r + 2) - 10(1 + 10r) Simplify the expression and write your answer as a fraction in lowest terms. ( ) ( ) 4) - 1 2 -1+ 2 5 Use a proportion to set up and solve the following problem. Round your answer to the nearest tenth if necessary. 5) If a 15.5 ft tall adult giraffe casts a 45 ft long shadow, then how tall is a woman who casts an 18.6 ft shadow? Set up and solve an equation to answer the question below. Round your answer to the nearest tenth of a percent if necessary. 6) What percent of 145 is 129.7? Worksheet by Kuta Software LLC -1- u R2J0^1^7m XKOuht\\aD fSDopf]thwtaYroeE ELeLJC`.T M OAflMl] VrIi`gDhytusV UrAeJsmelrKvLewdS.l k ^MCaEdJeh IwZiGt^hR KIQnFfwiwnyiltKeJ VP_ruev-^A_lggDe`bprXao. Find the percentage change. Round to the nearest tenth of a percent if necessary and state whether the change is an increase or a decrease. 7) From 36 tons to 56 tons Find the final price of the item below, given that the tax will be applied to the discounted price. 8) Original price of a car: $26,600.00 Discount: 25% Tax: 5% Use simple interest to find the ending balance, given the following values for principal, rate, and time. 9) $880 at 13.6% for 2 years Solve the equation given in #10. 10) a +5=9 2 Solve the equation given in #11. 11) 18 = 5(r + 6) - 2(1 + 5r) Solve the equation given in #12. 12) 29 1 4 = n+ n 10 6 5 Solve the equation given in #13. 13) 1 + 0.3m = 4.36 + 0.9m Worksheet by Kuta Software LLC -2- j z2u0`1o7I lKuuktLau VSponfFtfwdaRrUeB wLZLECe.g L pAylPlG drTiRgQhAt]ss or^ems\\ecrXvceFdr.q W CMYaGdfeJ LwIiDtUhp nITnffeiJn_iut\\em aPUr]eS-SALlTgNekbIrVac. Solve the inequality in #14, write its solution set in interval notation, and graph the solution set on a number line. 14) 3 + x 12 2 Solve the inequality in #15, write its solution set in interval notation, and graph the solution set on a number line. 15) -(5x - 2) < 5 - 4( x + 3) Find the slope of the line. Assume that the scale on each axis is 1 unit per tick mark. 16) y x Find the x- and y-intercepts of the line represented by the equation below. Plot both intercepts on a coordinate system and draw the line through them. 17) 2x + 5 y = 10 Write the slope-intercept form of the equation of the line through the given points. 18) through: (-3, 4) and (-1, -2) Worksheet by Kuta Software LLC -3- d ^2o0c1o7m gKUu]tNab sSqoOfhtUwragrPeW VLsLiCC.x f MAQlPlm trciogoh`tgsH Krwe]seeLrMvIe]dL.J t fMsaLdUec bwLiYtuhn wIonmfVibnuiItheh ZPWrNeg-JAAlGgSexb\ KaS. Find at least three ordered pairs that satisfy the equation and sketch the graph of the line through them. 19) 3 y = 15 + 6x Solve the system of equations by the method of substitution. 20) y = -7x 3x - 2 y = 17 Write the point-slope form of the equation of the line described. 1 21) through: (5, -3), parallel to y = x + 3 2 Write the slope-intercept form of the equation of the line described. 5 22) through: (5, 3), perpendicular to y = - x - 3 6 Solve the system by graphing both lines on one coordinate system. 23) 3x - 2 y = -8 x + y = -1 Solve the system of equations by the method of elimination. 24) -7x + 8 y = 14 -14x + 10 y = -14 Worksheet by Kuta Software LLC -4- F v2j0k1^7E EKOuwttaW BSPoCfxtqwQa\ oeL XL_LYCi.k f tA[lwlM TrsiNgTh`tSsv trbe`sqeVr[vBeZdA.q d VMOaDdteQ hwgi\\tXhY ZIFnBfHiZnsiQtMed MPurIer-JALl\\gweQbXrnaG. 25) Jessica and James are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Jessica sold 6 small boxes of oranges and 1 large box of oranges for a total of $77. James sold 12 small boxes of oranges and 7 large boxes of oranges for a total of $239. What is the cost each of one small box of oranges and one large box of oranges? Worksheet by Kuta Software LLC -5- K \\2f0N1]7B EK\\uktEai kS_oUfxtjwqaxr]eU fLJLJCJ.a o uAllIl[ brQiMgohYtPsi wrEeqsfe]rcvneCd\\.] v iMpaqdCej cw^iNtchT GIxnpfMinnVirtNeD yPCrbeS-VAnlHgoedbrrDaj